Please note that the assignments (if not specified otherwise) must be submitted in hand-writing and the deadline for each assignment is specified at the bottom of the corresponding page. Please make sure that you have written clearly your full name and student ID number as well as the Assignment number on the top of the page you have solved the problem: First Name XXX Last Name XXX “Assignment 3.1” Please note that the answers for the assignments will be uploaded on Moodle and discussed in the class (Matthews theatre) typically 2 weeks after the deadline. numerical methods strand: assignments 3-2 ASSIGNMENT 3.1 (WEEK 2 CLASS) The following data are given: 2.5 3.38 3.0 3.44 x f(x) 0 4.00 0.5 3.80 1.0 3.20 1.5 3.25 2.0 3.31 3.5 3.51 Find f"(3.0) to O(h) 2 . Submission: Week 3, Friday 12 of August, during your workshop. Submit this to your demonstrator at the start of your workshop. 3-3 ASSIGNMENT 3.2 (WEEK 2 CLASS) For the function f(x) = sin(5 πx) find f'(0) using the forward difference representation of O(h) and O(h) 2. Use as step h=0.2. Compare these results with the exact solution. Submission: Week 3, Friday 12 of August, during your workshop. Submit this to your demonstrator at the start of your workshop. 

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